This is impossible.
You want a currency whose exchange rate to all other currencies is fixed. Say that today 1 USD = 0.86 EUR. You are asking for a new currency GGG where 1 GGG = 1 USD, and 1 GGG = 0.86 EUR, always and forever.
Let's suppose the USD crashes so that 1 USD = 0.001 EUR (1000 USD = 1 EUR).
Let's suppose I'm stuck with 100,000 worthless USD. It's only worth 100 EUR.
But luckily, it's not worthless! I can just exchange my USD for GGG; now I have 100,000 GGG. Now I can exchange my GGG for EUR. Now I have 86,000 EUR. Woohoo!
But wait, there's more! Now I can exchange my 86,000 EUR for 86,000,000 USD. Then 86,000,000 GGG. Then 73,960,000 EUR. Then 73,960,000,000 USD. Then 73,960,000,000 GGG. Then 63,605,600,000 EUR. After I run around the currency exchange shops a few more times, I'm a multi-quintillionaire!
At least, until the currency exchange shop runs out of EUR to give me. Then the currency exchange shop will start demanding more GGG before they'll give me an EUR. And they'll give lots of GGG to anyone who gives them back an EUR because they need more EUR and have too much GGG. And that changes the exchange rate.